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Finding the Fourth Proportional to 337,798.64, 466,168.92 and 186,898.16

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Solution

The fourth proportional to 337,798.64, 466,168.92 and 186,898.16 is: 257,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,798.64 : 466,168.92 = 186,898.16 : x
  2. Step 2: Convert to fraction form
    337,798.64/466,168.92 = 186,898.16/x
  3. Step 3: Cross multiply
    337,798.64x = 466,168.92 × 186,898.16
  4. Step 4: Simplify right side
    337,798.64x = 87,126,113,397.19
  5. Step 5: Solve for x
    x = 87,126,113,397.19/337,798.64
  6. Step 6: Final answer
    x = 257,923.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.